The following equation models the spread of a disease:
N(t) = N₀eᵀᵗ
Where:
N(t) is the number of people infected at the time.
N₀ is the initial number of infected people.
r is the growth rate of the disease.
t is the time in days.
Without substituting the given values for N₀ and r immediately, derive a general formula for t in
terms of N(t), N₀, and r. Using the general formula, calculate the time it would take for 100 people to be infected, assuming N₀ = 1 and r = 0.5.
